matlab计算系统阻尼比

在Matlab中计算系统阻尼比，可以使用以下代码：

首先，定义传递函数的参数：

xi = 0.5; % 阻尼比
omegn = [0.2:0.2:1]; % 无阻尼振荡频率

然后，使用step函数计算单位阶跃响应，并绘制图像：

k = length(omegn);
t = 0:0.1:60;
for i = 1:k
    num = [omegn(i)^2];
    den = [1 2 * xi * omegn(i) omegn(i)^2];
    [c,x,t = step(num, den, t);
    subplot(1,2,1), plot(t, c); hold on
end
subplot(1,2,1), xlabel('Time(s)'), ylabel('C(t)'), grid on

最后，设置阻尼比为0.5，绘制单位阶跃响应图像：

omegn = 1;
xi = [0:0.5:2];
k = length(xi);
for i = 1:k
    num = [omegn(i)^2];
    den = [1 2 * xi * omegn(i) omegn(i)^2];
    [c,x,t = step(num, den, t);
    subplot(1,2,2), plot(t, c); hold on
end
subplot(1,2,2), xlabel('Time(s)'), ylabel('C(t)'), grid on

这段代码可以计算并绘制系统在不同阻尼比下的单位阶跃响应曲线。<span class="em">1</span><span class="em">2</span><span class="em">3</span>
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